14LINEAR EQUATIONS

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Many engineering problems require resolving a system of linear equations. These equations arise in structural analysis, electric circuits, statistics, and optimization problems, just to name a few. Implementing algorithms to solve these ubiquitous systems of equations is key for our Mechanics project to deal with real-world engineering problems.

In this chapter, we’ll explore the concept of numerical methods: existing algorithms that use computers to solve systems of equations. We’ll implement a powerful method to solve systems of linear equations: the Cholesky decomposition. We’ll use this method when we need to solve the big ...

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